Problem 11. (1 point) Let f(x) = -x – 7x³ + 2x – 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none". Note: You can earn partial credit on this problem.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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Problem 11.
(1 point) Let f(x) = -x – 7x³ + 2x – 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f.
1.
f is concave up on the intervals
2. f is concave down on the intervals
3.
The inflection points occur at x =
Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none".
In the last one, your answer should be a comma separated list of x values or the word "none".
Note: You can earn partial credit on this problem.
Transcribed Image Text:Problem 11. (1 point) Let f(x) = -x – 7x³ + 2x – 3. Find the open intervals on which f is concave up (down). Then determine the x-coordinates of all inflection points of f. 1. f is concave up on the intervals 2. f is concave down on the intervals 3. The inflection points occur at x = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last one, your answer should be a comma separated list of x values or the word "none". Note: You can earn partial credit on this problem.
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